Z. Rudnick

发表

Local Statistics of Lattice Points on the Sphere

P. Sarnak, J. Bourgain, Z. Rudnick, 2012, 1204.0134.

Number fields and function fields: coalescences, contrasts and emerging applications

J. Keating, T. Wooley, Z. Rudnick, 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Zeros of principal $L$-functions and random matrix theory

Peter Sarnak, Zeév Rudnick, P. Sarnak, 1996 .

The distribution of spacings between quadratic residues

Z. Rudnick, P. Kurlberg, Z. Rudnick, 1999 .

Density of integer points on affine homogeneous varieties

P. Sarnak, W. Duke, Z. Rudnick, 1993 .

On the distribution of matrix elements for the quantum cat map

Z. Rudnick, P. Kurlberg, 2003, math/0302277.

Matrix elements for the quantum cat map : fluctuations in short windows

Z. Rudnick, P. Kurlberg, L. Rosenzweig, 2007, math/0701685.

The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field

Z. Rudnick, Dan Carmon, 2012 .

An Exciting Year on Analysis in Number Theory

Z. Rudnick, Y. Tschinkel, Roger Heath-Brown, 2007 .

Nodal intersections for random eigenfunctions on the torus

Z. Rudnick, I. Wigman, 2014, 1402.3621.

LERAY MEASURE FOR NODAL SETS OF EIGENFUNCTIONS ON THE TORUS

Z. Rudnick, I. Wigman, 2008 .

The Leray measure of nodal sets for random eigenfunctions on the torus

Z. Rudnick, I. Wigman, F. Oravecz, 2006, math-ph/0609072.

Nodal intersections and Lp restriction theorems on the torus

J. Bourgain, Z. Rudnick, 2013, 1308.4247.

Restriction of toral eigenfunctions to hypersurfaces and nodal sets

J. Bourgain, Z. Rudnick, 2011, 1105.0018.

Restriction of toral eigenfunctions to hypersurfaces

J. Bourgain, Z. Rudnick, 2009, 0907.4824.

Partial Differential Equations Restriction of toral eigenfunctions to hypersurfaces

J. Bourgain, Z. Rudnick, 2009 .

The n-level correlations of zeros of the zeta function

P. Sarnak, Z. Rudnick, 1994 .

On the Robin spectrum for the hemisphere

Z. Rudnick, I. Wigman, 2020, Annales mathématiques du Québec.

LATTICE POINTS ON CIRCLES OPEN PROBLEMS IN NUMBER THEORY SPRING 2018, TEL AVIV UNIVERSITY

Z. Rudnick, 2018 .

Stable multiplicities in the length spectrum of Riemann surfaces

Z. Rudnick, D. Ginzburg, 1998 .

Gap Distributions in Circle Packings

Z. Rudnick, Xin Zhang, 2015, 1509.02989.

On the Robin spectrum for the equilateral triangle

Z. Rudnick, I. Wigman, 2022, Journal of Physics A: Mathematical and Theoretical.

Eigenvalue Spacings for Regular Graphs

Z. Rudnick, D. Jakobson, S.D.Miller, 2003, hep-th/0310002.

Hecke theory and equidistribution for the quantization of linear maps of the torus

Z. Rudnick, P. Kurlberg, 1999, chao-dyn/9901031.

The distribution of spacings between quadratic residues

Z. Rudnick, P. Kurlberg, 1998, math/9812046.

Squarefree polynomials and Mobius values in short intervals and arithmetic progressions

J. Keating, Z. Rudnick, 2015, 1504.03444.

Torsion points on curves and common divisors of $a^k-1$ and $b^k-1$

Nir Ailon, Z. Rudnick, 2002, math/0202102.

The distribution of spacings between the fractional parts of n2α

P. Sarnak, Z. Rudnick, A. Zaharescu, 2000, International Mathematics Research Notices.

Stable mixing for cat maps and quasi-morphisms of the modular group

Z. Rudnick, L. Polterovich, 2000, Ergodic Theory and Dynamical Systems.

The fluctuations in the number of points on a hyperelliptic curve over a finite field

Z. Rudnick, P. Kurlberg, 2008, 0804.0808.

Equidistribution of the real part of orbits in hyperbolic spaces

Morten S. Risager, Z. Rudnick, M. S. Risager, 2007 .

On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces

Morten S. Risager, Z. Rudnick, M. S. Risager, 2007, 0707.3323.

Linear statistics for zeros of Riemann's zeta function

Z. Rudnick, C. Hughes, 2002, math/0208220.

Random matrix theory, the exceptional Lie groups and L-functions

J. Keating, N. Linden, Z. Rudnick, 2002, math-ph/0210058.

Mock-Gaussian behaviour for linear statistics of classical compact groups

Z. Rudnick, C. Hughes, 2002, math/0206289.

ANALYTIC NUMBER THEORY, SPRING 2022 THE CLASS NUMBER ONE PROBLEM

Z. Rudnick, 2022 .

Value distribution for eigenfunctions of desymmetrized quantum maps

Z. Rudnick, P. Kurlberg, 2001, math-ph/0101008.

New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's

J. Lafferty, F. Mezzadri, J. Keating, 2017 .

Kick stability in groups and dynamical systems

Z. Rudnick, L. Polterovich, 2000, math/0005031.

GOE statistics on the moduli space of surfaces of large genus

Z. Rudnick, 2022, 2202.06379.

A Central Limit Theorem for the Spectrum of the Modular Domain

Z. Rudnick, 2004, math-ph/0406015.

Angles of Gaussian Primes

Z. Rudnick, E. Waxman, Ezra Waxman, 2017, Israel Journal of Mathematics.

Gaussian primes in almost all narrow sectors

Z. Rudnick, Jianya Liu, Bingrong Huang, 2019, Acta Arithmetica.

Introduction to the Special Issue: In memory of Jean Bourgain

S. Dyatlov, Z. Rudnick, S. Jitomirskaya, 2022, Journal of Mathematical Physics.

Matrix elements for the quantum cat map: fluctuations in short windows

Z. Rudnick, P. Kurlberg, Lior Rosenzweig, 2007, math/0701685.

ON THE ASYMPTOTIC DISTRIBUTION OF ZEROS OF MODULAR FORMS

Z. Rudnick, 2005, math/0506267.

Quantum unique ergodicity for parabolic maps

Z. Rudnick, J. Marklof, 1999, math-ph/9901001.

Sums of divisor functions in F q[ t ] and matrix integrals. Mathematische

Z. Rudnick, E. Roditty-Gershon, 2017 .

Sums of divisor functions in $$\mathbb {F}_q[t]$$Fq[t] and matrix integrals

J. Keating, Z. Rudnick, E. Roditty-Gershon, 2015, 1504.07804.

Some problems in analytic number theory for polynomials over a finite field

Z. Rudnick, 2015, 1501.01769.

fields and function fields: Coalescences, contrasts and emerging applications.

T. Wooley, Z. Rudnick, 2015 .

On locally repeated values of arithmetic functions over $\mathbb F_q[T]$

Z. Rudnick, 2018, 1803.08140.

Prime lattice points in ovals

Z. Rudnick, Bingrong Huang, 2018, Monatshefte für Mathematik.

Prime lattice points in ovals

Z. Rudnick, Bingrong Huang, 2018, Monatshefte für Mathematik.

Eigenvalue statistics and lattice points

Z. Rudnick, 2007 .

Lower bounds for moments of L-functions.

K. Soundararajan, Z. Rudnick, 2005, Proceedings of the National Academy of Sciences of the United States of America.

Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus

Z. Rudnick, I. Wigman, 2023, 2301.05964.

A proof of Siegel's weight formula

P. Sarnak, A. Eskin, Z. Rudnick, 1991 .

The variance of arithmetic measures associated to closed geodesics on the modular surface

P. Sarnak, Z. Rudnick, W. Luo, 2008, 0810.3331.

Modelling the expected probability of correct assignment under uncertainty

Renana Peres, Tom Dvir, Ze'ev Rudnick, 2020, Scientific Reports.

Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory

Z. Rudnick, E. Roditty-Gershon, Alexei Entin, 2012, 1208.5962.

Almost all eigenfunctions of a rational polygon are uniformly distributed

Jens Marklof, Zeev Rudnick, Z. Rudnick, 2011, 1111.3583.

The behaviour of eigenstates of arithmetic hyperbolic manifolds

Peter Sarnak, Zeév Rudnick, P. Sarnak, 1994 .

Eigenfunctions of the Quantized Cat Map

Z. Rudnick, P. Kurlberg, 1999 .

Traces of high powers of the Frobenius class in the hyperelliptic ensemble

Z. Rudnick, 2008, 0811.3649.

Linear statistics of low-lying zeros of L-functions

Z. Rudnick, C. Hughes, 2002, math/0208230.

Equidistribution in number theory, an introduction

Andrew Granville, Zeév Rudnick, A. Granville, 2006 .

QUANTUM UNIQUE ERGODICITY FOR PARABOLICMAPSJENS MARKLOF AND ZE

Z. Rudnick, 1999 .

On Selberg's eigenvalue conjecture

P. Sarnak, Z. Rudnick, W. Luo, 1995 .

Hardy-Littlewood varieties and semisimple groups

Z. Rudnick, M. Borovoi, 1995 .

Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field

Z. Rudnick, Dmitry Faifman, 2008, Compositio Mathematica.

The metric theory of the pair correlation function for small non‐integer powers

Ze'ev Rudnick, Niclas Technau, Z. Rudnick, 2021, Journal of the London Mathematical Society.

Lower bounds for moments of L-functions: symplectic and orthogonal examples

K. Soundararajan, Z. Rudnick, 2006, math/0601498.

Small Scale Equidistribution of Eigenfunctions on the Torus

Z. Rudnick, S. Lester, 2015, 1508.01074.

On the distribution of lattice points in thin annuli

Z. Rudnick, C. Hughes, 2003, math/0304129.

The distribution of spacings between fractional parts of lacunary sequences

Z. Rudnick, A. Zaharescu, 1999, math/9912103.

A metric result on the pair correlation of fractional parts of sequences

Alexandru Zaharescu, Zeév Rudnick, Z. Rudnick, 1999 .

Pair arithmetical equivalence for quadratic fields

W. Li, Z. Rudnick, 2020, Mathematische Zeitschrift.

TORSION POINTS ON CURVES

A. Granville, Z. Rudnick, 2007 .

Nodal intersections and Lp restriction theorems on the torus

J. Bourgain, Z. Rudnick, 2013, 1308.4247.

On the nodal sets of toral eigenfunctions

J. Bourgain, Z. Rudnick, 2010, 1003.1743.

On Quantum Ergodicity for Linear Maps of the Torus

Z. Rudnick, P. Kurlberg, 1999, math/9910145.

Nodal intersections for random waves on the 3-dimensional torus

Z. Rudnick, I. Wigman, Nadav Yesha, 2015, 1501.07410.

On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus

Jean Bourgain, Zeev Rudnick, J. Bourgain, 2010, 1012.3843.

Points on nodal lines with given direction

Z. Rudnick, I. Wigman, 2018, Journal of Spectral Theory.

Betti numbers of congruence groups

P. Sarnak, Z. Rudnick, S. Adams, 1994 .

The Robin problem on rectangles

Z. Rudnick, I. Wigman, 2021, Journal of Mathematical Physics.

On the Robin spectrum for the hemisphere

Z. Rudnick, I. Wigman, 2021, Annales mathématiques du Québec.

Statistics of Wave Functions for a Point Scatterer on the Torus

Z. Rudnick, Henrik Ueberschär, 2011, 1109.4582.

The Pair Correlation Function of Fractional Parts of Polynomials

Peter Sarnak, Zeév Rudnick, P. Sarnak, 1998 .

Differences Between Robin and Neumann Eigenvalues

Igor Wigman, Nadav Yesha, Zeev Rudnick, 2020, Communications in Mathematical Physics.

On the Eigenvalue Spacing Distribution for a Point Scatterer on the Flat Torus

Z. Rudnick, Henrik Ueberschär, 2012, 1208.5920.

On the Eigenvalue Spacing Distribution for a Point Scatterer on the Flat Torus

Z. Rudnick, Henrik Ueberschär, 2013, Annales Henri Poincaré.

Statistics of Wave Functions for a Point Scatterer on the Torus

Z. Rudnick, Henrik Ueberschär, 2012, Communications in Mathematical Physics.

On the distribution of matrix elements for the quantum cat map

Z. Rudnick, P. Kurlberg, 2003, math/0302277.

The Circle Problem in the Hyperbolic Plane

R. Phillips, Z. Rudnick, 1994 .

On a family of sparse exponential sums

Z. Rudnick, M. Garaev, Igor Shparlinski, 2023, 2309.11887.

Angles of Gaussian primes

Z. Rudnick, Ezra Waxman, 2019, Israel Journal of Mathematics.

Small gaps in the spectrum of the rectangular billiard

J. Bourgain, Z. Rudnick, Maksym Radziwill, 2016, 1604.02413.

On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

Z. Rudnick, I. Wigman, 2007, math-ph/0702081.

The Leray measure of nodal sets for random eigenfunctions on the torus

Z. Rudnick, I. Wigman, F. Oravecz, 2006, math-ph/0609072.

GOE statistics on the moduli space of surfaces of large genus

Z. Rudnick, 2022, Geometric and Functional Analysis.

Random matrix theory, the exceptional Lie groups and L-functions

J. Keating, N. Linden, Z. Rudnick, 2002, math-ph/0210058.

THE ARITHMETIC THEORY OF QUANTUM MAPS

Z. Rudnick, 2007 .

The variance of the number of prime polynomials in short intervals and in residue classes

Z. Rudnick, Jon P Keating, 2012, 1204.0708.

Square-free values of polynomials over the rational function field

Z. Rudnick, 2012, 1211.6733.

SQUAREFREE VALUES OF QUADRATIC POLYNOMIALS COURSE NOTES, 2015

Z. Rudnick, 2015 .